Spectral theory of differential operators

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Page iii

Copyright page
Page iv

Dedication
Page v

Preface
Page vii
Ian W. Knowles, Roger T. Lewis

Lectures not Appearing in Proceedings
Page xii

Address List of Contributors
Pages xiii-xv

Transformations of Ordinary Differential Operators Original Research Article
Pages 1-7
Calvin D. Ahlbrandt, Don B. Hinton, Roger T. Lewis

Finiteness Criteria for the Negative Spectrumy and Nonoscielation Theory for a Class of Higher Order Elliptic Operators Original Research Article
Pages 9-12
W. Allegretto

A Class of Limit-Point Criteria Original Research Article
Pages 13-35
F.V. Atkinson

Bounds for the Linearly Perturbed Eigenvalue Problem Original Research Article
Pages 37-43
Michael F. Barnsley

Analysis of Boltzmann Equations in Hilbert Space by Means of a Non-Linear Eigenvalue Property Original Research Article
Pages 45-52
M.F. Barnsley, J.V. Herod, D.L. Mosher, G.B. Passty

Some Partial Differential Operators with Discrete Spectra Original Research Article
Pages 53-59
John V. Baxley

Spectral Theory for Hermitean Differential Systems Original Research Article
Pages 61-67
Christer Bennewitz

Wirtinger Inequalities, Dirichlet Functional Inequalities, and the Spectral Theory of Linear Operators and Relations Original Research Article
Pages 69-79
Richard C. Brown

A Survey of Some Recent Results in Transmutation Original Research Article
Pages 81-92
Robert Carroll

Spectral Theory and Unbounded Obstacle Scattering Original Research Article
Pages 93-98
J.M. Combes, R. Weder

Almost Periodic Solutions for Infinite Delay Systems Original Research Article
Pages 99-106
C. Corduneanu

A Schrödinger Operator with an Oscillating Potential Original Research Article
Pages 107-113
Allen Devinatz, Peter Rejto

On Certain Regular Ordinary Differential Expressions and Related Differential Operators Original Research Article
Pages 115-167
W.N. Everitt

An Eigenfunction Expansion Associated with a Two-Parameter System of Differential Equations Original Research Article
Pages 169-172
Melvin Faierman

Distribution of the Eigenvalues of Operators of Schrödinger Type Original Research Article
Pages 173-179
J. Fleckinger

The Local Asymptotics of Continuum Eigenfunciton Expansions Original Research Article
Pages 181-187
S.A. Fulling

Some Open Problems on Asymptotics of m-Coefficients Original Research Article
Pages 189-192
Charles T. Fulton

Singular Linear Ordinary Differential Equations with Non-Zero Second Auxiliary Polynomial Original Research Article
Pages 193-198
Richard C. Gilbert

Higher Dimensional Spectral Factorization with Applications to Digital Filtering Original Research Article
Pages 199-205
R. Kent Goodrich, Karl E. Gustafson

The Limit Point-Limit Circle Problem for Nonlinear Equations Original Research Article
Pages 207-210
John R. Graef, Paul W. Spikes

A Model Spectral Problem for the Linear Stability of Nearly Parallel Flows Original Research Article
Pages 211-217
Isom H. Herron

Titchmarsh-Weyl Theory for Hamiltonian Systems Original Research Article
Pages 219-231
Don Hinton, Ken Shaw

Two Parametric Eigenvalue Problems of Differential Equations Original Research Article
Pages 233-241
C. Hunter

Schrödinger Operators in the Low Energy Limit: Some Recent Results in L2(R4) Original Research Article
Pages 243-246
Arne Jensen

Long-Time Behavior of a Nuclear Reactor Original Research Article
Pages 247-251
Hans G. Kaper

Remarks on the Selfadjointness and Related Problems for Differential Operators Original Research Article
Pages 253-266
Tosio Kato

A Weyl Theory for a Class of Elliptic Boundary Value Problems on a Half-Space Original Research Article
Pages 267-278
Robert M. Kauffman

On the Correctness of Boundary Conditions for Certain Linear Differential Operators Original Research Article
Pages 279-287
Ian Knowles, David Race

Index and Noimhomogeneous Conditions for Linear Manifolds Original Research Article
Pages 289-293
Sung J. Lee

On the Positive Spectrum of Schrödinger Operators with Long Range Potentials Original Research Article
Pages 295-301
Howard A. Levine

The Spectra of Some Singular Elliptic Operators of Second Order Original Research Article
Pages 303-318
Roger T. Lewis

Recapturing Solutions of an Elliptic Partial Differential Equation Original Research Article
Pages 319-325
Peter A. McCoy

Fourth Order Inverse Eigenvalue Problems Original Research Article
Pages 327-335
Joyce R. McLaughlin

Sturm Theory in n-Space Original Research Article
Pages 337-341
Angelo B. Mingarelli

Selfadjointness of Matrix Operators Original Research Article
Pages 343-348
Branko Najman

Spectral Properties of Some Nonselfadjoint Operators and Some Applications Original Research Article
Pages 349-354
A.G. Ramm

Dirichlet Solutions of Fourth Order Differential Equations Original Research Article
Pages 355-359
Thomas T. Read

Spectral and Scattering Theory for Propagative Systems Original Research Article
Pages 361-368
Martin Schechter

Spectral Analysis of Multiparticle Schrödinger Operators Original Research Article
Pages 369-370
Barry Simon

Estimates for Eigenvalues of the Laplacian on Compact Riemannian Manifolds Original Research Article
Pages 371-374
Udo Simon

The Square Integrable Span of Locally Square Integrable Functions Original Research Article
Pages 375-378
Philip W. Walker

On a Conditionally Convergent Dirichlet Integral Associated with a Differential Expression Original Research Article
Pages 379-384
S.D. Wray